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349316399096 = 23727312207031
BaseRepresentation
bin1010001010101001110…
…00010011111111111000
31020101122110102200012222
411011110320103333320
521210344444232341
6424250154423212
734144246254500
oct5052470237770
91211573380188
10349316399096
11125165000925
1257849431b08
1326c2c081652
1412c9ab66a00
15914702044b
hex5154e13ff8

349316399096 has 48 divisors (see below), whose sum is σ = 772338914640. Its totient is φ = 147656234880.

The previous prime is 349316398997. The next prime is 349316399099. The reversal of 349316399096 is 690993613943.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349316399099) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6074900 + ... + 6132131.

It is an arithmetic number, because the mean of its divisors is an integer number (16090394055).

Almost surely, 2349316399096 is an apocalyptic number.

It is an amenable number.

349316399096 is an abundant number, since it is smaller than the sum of its proper divisors (423022515544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349316399096 is a wasteful number, since it uses less digits than its factorization.

349316399096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12207124 (or 12207113 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 62.

The spelling of 349316399096 in words is "three hundred forty-nine billion, three hundred sixteen million, three hundred ninety-nine thousand, ninety-six".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 392 511 584 1022 2044 3577 4088 7154 14308 28616 12207031 24414062 48828124 85449217 97656248 170898434 341796868 598144519 683593736 891113263 1196289038 1782226526 2392578076 3564453052 4785156152 6237792841 7128906104 12475585682 24951171364 43664549887 49902342728 87329099774 174658199548 349316399096